{
  "annotation_id": "782f1038-5c3d-46c7-9142-c5c0546af369",
  "date_created": "2026-03-02T18:01:03.473000Z",
  "date_modified": "2026-03-02T18:01:03.473000Z",
  "file_hash": "f7c3cf4077e6bacc3b75f4e9e302dedee96a89025f3e2ba0c5d4740547619219",
  "private": false,
  "record": {
    "abstract": "This paper is a theoretical and a numerical investigation of the stability of\na tip-cantilever system used in noncontact atomic force microscopy (NC-AFM)\nwhen it oscillates close to a surface. No additional dissipative force is\nconsidered. The theoretical approach is based on a variational method\nexploiting a coarse grained operation that gives the temporal dependance of the\nnon-linear coupled equations of motion in amplitude and phase of the\noscillator. Stability criterions for the resonance peak are deduced and predict\na stable behavior of the oscillator in the vicinity of the resonance. The\nnumerical approach is based on the results obtained with a virtual NC-AFM\ndeveloped by our group. The effect of the size of the stable domain in phase is\ninvestigated. These results are in particularly good agreement with the\ntheoretical predictions. Also they show the influence of the phae shifter in\nthe feedback loop and the way it can affect the damping signal.",
    "arxiv_id": "physics/0510133",
    "authors": [
      "G\u00e9rard Couturier",
      "Laurent Nony",
      "Rodolphe Boisgard",
      "Jean-Pierre Aim\u00e9"
    ],
    "categories": [
      "physics.atm-clus"
    ],
    "doi": "10.1016/S0169-4332(01)00948-5",
    "journal_ref": "Applied Surface Science 188 (2002) 341-348",
    "title": "Stability analysis of an oscillating tip-cantilever system in NC-AFM",
    "url": "https://arxiv.org/abs/physics/0510133"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "75445e25-4907-479a-8ce5-8e36f57b2dcd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}